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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 1, Pages 220–230 (Mi timm1159)  
This article is cited in 8 scientific papers (total in 8 papers)

Stability of capture into parametric autoresonance

O. A. Sultanov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
Full-text PDF (223 kB) Citations (8)
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Abstract: A mathematical model describing the initial stage of a capture into parametric autoresonance in nonlinear oscillating systems is considered. The resonance corresponds to solutions with unboundedly growing energy. The stability of such solutions with respect to persistent perturbations on an asymptotically large time interval is investigated. A class of admissible perturbations is described for which a capture into parametric autoresonance occurs.
Keywords: parametric resonance; nonlinear oscillations; perturbations; stability.
Received: 23.11.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 295, Issue 1, Pages 156–167
DOI: https://doi.org/10.1134/S0081543816090169
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: O. A. Sultanov, “Stability of capture into parametric autoresonance”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 1, 2015, 220–230; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 156–167
Citation in format AMSBIB
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\paper Stability of capture into parametric autoresonance
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 295
\issue , suppl. 1
\pages 156--167
\crossref{https://doi.org/10.1134/S0081543816090169}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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